Question

Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?

Connect vertex B to the arc marking to complete the angle bisector


Find the angle bisectors for angles A and B


Connect three arc markings together to form the triangle


Use the incenter to determine the center to construct the circle

Answer 1

The construction is missing, so i have attached it.

Answer:

Use the incenter to determine the center to construct the circle.

Explanation:

From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.

Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.